I have the following situation this year in the Volleyball league:

3 divisions consisting of 12, 16, 16 teams respectively.

We run the league with 4 30 minute slots and I was planning on taking
half of the teams from each division so that would be 6, 8, 8 and
having them play in slot A and the other half playing in slot B.

The problem is that the same teams that played in slot A will have to
play in slot C and those from slot B will have to play in slot D.
Each team must play each other once.

So for example using the 12 team division:

A: 12 v 1, 11 v 2, 3 v 10

B: 9 v 4, 5 v 8, 7 v 6

C: 2 v 12, 1 v 3, 10 v 11

D: 6 v 9, 8 v 7, 4 v 5

and so on until everyone has played everyone once.  This used to work
when I had only two divisions but thus far I have failed to come up
with a schedule that does not fail as I get near the end.  Is there
some type of algorithm out there to generate this type of schedule
with a given number of teams either 12 or 16 in my case.

Thanks much

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